Question

Answer ASAP

Find the area of each sector. Round your answer to the nearest tenth

Answer 1

Method A.
A full circle has a central angle of 360 degrees.
A central angle of 90 degrees is a quarter of a circle.
The area of the sector is 1/4 of the area of the circle.
Find the area of the circle and divide by 4.

Method B.
You can also use the formula for the area of a sector with a central angle of n degrees.


`A_(sector) = (n)/(360^\circ) \pi r^2`


`A_(sector) = (90^\circ)/(360^\circ) * 3.14159 * (12~cm)^2`


`A_(sector) = 113.1 ~cm^2`

Answer 2

3.14 * 12^2 = 452.39 / 4 = 113.1 cm^2